7 (C)
Explanation:the consecutive numbers with no prime number in between less than hundred
are 90,91,92,93,94,95,96 that means the answer is 7 which is the third option
Hope it helps

Explanation:

To find the maximum consecutive numbers less than 100 with no prime number between them, we need to start by listing down all the prime numbers which are less than 100. They are:

2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, 41, 43, 47, 53, 59, 61, 67, 71, 73, 79, 83, 89, 97

Now, we need to find the largest set of consecutive numbers such that there is no prime number between them. Let's consider each option given:

a) 6 consecutive numbers: We can start with 20, since the prime numbers 19 and 23 are on either side of it. The next five numbers are 21, 22, 24, 25, and 26. However, 23 is a prime number which falls between 20 and 26, so this option does not work.

b) 5 consecutive numbers: We can start with 22, since the prime numbers 19 and 23 are on either side of it. The next four numbers are 23, 24, 25, and 26. However, 23 is a prime number which falls between 22 and 26, so this option does not work either.

c) 7 consecutive numbers: We can start with 30, since the prime numbers 29 and 31 are on either side of it. The next six numbers are 31, 32, 33, 34, 35, and 36. None of these numbers are prime, so this option works.

d) 8 consecutive numbers: We can start with 98, since the prime numbers 97 and 101 are on either side of it. The next seven numbers are 99, 100, 101, 102, 103, 104, and 105. However, 101 is a prime number which falls between 98 and 105, so this option does not work.

Therefore, the maximum consecutive numbers less than 100 with no prime number between them is 7, which is option (c).